OAI/MeasureTheory/FalconerCompletion/Graphs/GraphPerp.lean

GitHub source file

13 declarations, 0 contain sorry, 0 declared as axioms

Graph energies and pair estimates.

  1. def OAI.CurrentFalconer.graphPerpND line 15
  2. lemma OAI.CurrentFalconer.graphPerpND_sub line 17
  3. lemma OAI.CurrentFalconer.graphPerpND_add line 21
  4. lemma OAI.CurrentFalconer.graphPerpND_norm_le line 25
  5. lemma OAI.CurrentFalconer.graphPerpND_change_direction line 32
  6. theorem OAI.CurrentFalconer.graph_witness_tubeND line 46
  7. theorem OAI.CurrentFalconer.graph_scalar_perp_ballND line 62
  8. lemma OAI.CurrentFalconer.graph_phase_changeND line 74
  9. lemma OAI.CurrentFalconer.graph_perp_center_changeND line 84
  10. def OAI.CurrentFalconer.graphAffineLineND line 92
  11. lemma OAI.CurrentFalconer.graphAffineLineND_nonempty line 94
  12. lemma OAI.CurrentFalconer.graphPerpND_sub_smul line 97
  13. lemma OAI.CurrentFalconer.infDist_graphAffineLineND line 102